Average Error: 1.0 → 0.1
Time: 25.5s
Precision: 64
\[\cosh \left(x + 1\right) - \cos x\]
\[\sqrt[3]{\cosh \left(x + 1\right) - \cos x} \cdot \left(\sqrt[3]{\cosh \left(x + 1\right) - \cos x} \cdot \sqrt[3]{\cosh \left(x + 1\right) - \cos x}\right)\]
\cosh \left(x + 1\right) - \cos x
\sqrt[3]{\cosh \left(x + 1\right) - \cos x} \cdot \left(\sqrt[3]{\cosh \left(x + 1\right) - \cos x} \cdot \sqrt[3]{\cosh \left(x + 1\right) - \cos x}\right)
double f(double x) {
        double r13267259 = x;
        double r13267260 = 1.0;
        double r13267261 = r13267259 + r13267260;
        double r13267262 = cosh(r13267261);
        double r13267263 = cos(r13267259);
        double r13267264 = r13267262 - r13267263;
        return r13267264;
}

double f(double x) {
        double r13267265 = x;
        double r13267266 = 1.0;
        double r13267267 = r13267265 + r13267266;
        double r13267268 = cosh(r13267267);
        double r13267269 = cos(r13267265);
        double r13267270 = r13267268 - r13267269;
        double r13267271 = cbrt(r13267270);
        double r13267272 = r13267271 * r13267271;
        double r13267273 = r13267271 * r13267272;
        return r13267273;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 1.0

    \[\cosh \left(x + 1\right) - \cos x\]
  2. Using strategy rm
  3. Applied add-cube-cbrt0.1

    \[\leadsto \color{blue}{\left(\sqrt[3]{\cosh \left(x + 1\right) - \cos x} \cdot \sqrt[3]{\cosh \left(x + 1\right) - \cos x}\right) \cdot \sqrt[3]{\cosh \left(x + 1\right) - \cos x}}\]
  4. Final simplification0.1

    \[\leadsto \sqrt[3]{\cosh \left(x + 1\right) - \cos x} \cdot \left(\sqrt[3]{\cosh \left(x + 1\right) - \cos x} \cdot \sqrt[3]{\cosh \left(x + 1\right) - \cos x}\right)\]

Reproduce

herbie shell --seed 1 
(FPCore (x)
  :name "cosh(x+1)-cos(x)"
  (- (cosh (+ x 1.0)) (cos x)))